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In Standard (Return to Ravnica, M14, and the first Theros set), a friend of mine is currently working with a tri-color RGB deck heavy on control via spot destruction: Abrupt Decay, Dreadbore, Ultimate Price, and other cards that follow the format of "Destroy target X".

Between those cards, said friend can fairly effectively keep our side of the board clear and pave the way for a powerful mid- to late-game creature (e.g. Polukranos, World Eater, which doubles as another destroyer) to end the game.

What strategies are generally effective against destruction-focused control decks like this? (Bonus points for strategies currently viable in Standard)